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Karolina [17]
3 years ago
15

A rectangular field is eight times as long as it is wide. If the perimeter of the field is 900 feet, what are the dimensions of

the field.
Mathematics
1 answer:
Bas_tet [7]3 years ago
3 0

Answer:

400 feet long

50 feet wide

Step-by-step explanation:

Length = l

Width = w

2l + 2w = 900

l = 8w

Plug the l from the bottom equation into the top equation

2 x 8w+ 2w = 900

16w = 900

Divide both sides by 16

16w/16 = 900/16

w = 50

The width is 50 feet

Now plug the new w into one of the original equations; we'll use the bottom one

l = 8(50)

l = 400

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Step-by-step explanation:

60+70=130

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8 0
3 years ago
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Julie and mark are selling wrapping paper for a school fundraiser. Julie sold 13 rolls of plain wrapping paper and 8 rolls of ho
patriot [66]

Answer:

Cost of one roll of plain wrapping paper is $12 and Cost of one roll of holiday paper is $17.

Step-by-step explanation:

Solution,

Let the cost of 1 plain wrapping paper be x.

And the cost of 1  holiday paper be y.

Julie sold 13 rolls of plain wrapping paper and 8 rolls of holiday paper and earns $292.

Total Money earned by Julie is equal to sum of number of wrapping paper multiplied with cost of wrapping paper and number of holiday paper multiplied with cost of holiday paper.

So we can frame it in equation form as;

13x+8y=292\ \ \ \ \ equation\ 1

Now, Mark sold 7 rolls of plain wrapping paper and 2 rolls of holiday paper and earns $118.

Total Money earned by Mark is equal to sum of number of wrapping paper multiplied with cost of wrapping paper and number of holiday paper multiplied with cost of holiday paper.

So we can frame it in equation form as;

7x+2y=118\ \ \ \ \ equation\ 2

Now Multiplying equation 2 by 4 we get;

4(7x+2y)=118\times4\\\\4\times7x+4\times2y=118\times4\\\\28x+8y= 472 \ \ \ \ equation\ 3

Now Subtracting equation 1 from equation 3.

(28x+8y)-(13x+8y)= 472-292\\\\28x+8y-13x-8y= 180\\\\15x=180\\\\x=\frac{180}{2} = \$12

Now substituting the value of x in equation 1 we get;

13x+8y=292\\\\13\times12+8y=292\\\\156+8y=292\\\\8y=292-156\\\\8y=136\\\\y=\frac{136}{8}= \$17

Hence Cost of one roll of plain wrapping paper is $12 and Cost of one roll of holiday paper is $17.

8 0
4 years ago
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Tomtit [17]

Answer:

I can be used for thermal conductivity, Electrical conductivey, fake grills for teeth lol, ac conducters, and more

Step-by-step explanation:

8 0
3 years ago
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I’m thinking of three consecutive odd integers. When I add the larger two the result is nine less than three times the smallest
maksim [4K]

Answer:

Step-by-step explanation:

Let the 3 consecutive odd numbers be n, n+2, n+4.

(n+2) + (n+4) = 3n - 9

Collect like terms

n+n-3n=-9-6

-n=-15

n=15,

n+2=17

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4 0
3 years ago
In triangle ABC, the right angle is at vertex C, a = 714 cm and the measure of angle A is 78° . To the nearest cm, what is the l
rewona [7]

Answer:

c = 730cm

Step-by-step explanation:

The first thing we would do is to draw the diagram using th given information.

Find attached the diagram.

a = 714 cm

the measure of angle A = 78°

To determine c, we would apply sine rule. This is because we know the opposite and we are to determine the hypotenuse

sin78 = opposite/hypotenuse

sin 78 = 714/c

c = 714/sin 78 = 714/0.9781

c= 729.99

c≅ 730 cm ( nearest cm)

7 0
4 years ago
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